This paper establishes the emergence of slowly moving transition layer solutions for \begin{document}$ p $\end{document}-Laplacian (nonlinear) evolution equation, style='text-indent:20px;'> \begin{document}$ u_t = \varepsilon^p(|u_x|^{p-2}u_x)_x - F'(u), \qquad x...

Dutch listeners were exposed to the English theta sound (as in bath), which replaced [f] in /f/-final Dutch words or, for another group, [s] in /s/-final words. A subsequent identity-priming task showed that participants had learned to interpret theta as, respectively, /f/ or /s/. Priming effects were equally strong when the exposure sound was an ambiguous [fs]-mixture and when primes contained...

Abstract Given $$E_0, E_1, F_0, F_1, E$$ E 0 , 1 F rearrangement invariant function spaces, $$a_0$$ a , $$a_1$$ $$\mathrm {b}_0$$ b {b}_1$$ {b}$$ slowly varying f...

Genetic linkage between atopic IgE responses and chromosome 11q13 (D11S97) has been previously reported in a limited number of extended families. Difficulties of phenotyping in the older family members, poor family structure in some families, and genetic heterogeneity were proposed as possible explanations for the variability in lod scores. To test this finding a second linkage study of 64 youn...

Numerical study of various processes leads to the need for clarification (extensions) limits applicability computational constructs and modeling tools. In this article, we differentiability in space Lebesgue integrable functions consistency concept with fundamental constructions such as Taylor expansion finite differences is considered. The function $f$ from $L_1 [a; b]$ called $(k,L)$-differen...

Theta characteristics appeared for the first time in the context of characteristic theory of odd and even theta functions in the papers of Göpel [Go] and Rosenhain [Ro] on Jacobi’s inversion formula for genus 2. They were initially considered in connection with Riemann’s bilinear addition relation between the degree two monomials in theta functions with characteristics. Later, in order to syste...

*Correspondence: [email protected] Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan Abstract We give characterizations of the contractive conditions, by using convergent sequences. Since we use a unified method, we can compare the contractive conditions very easily. We also discuss the contractive conditions of int...

Let X, d be a complete metric space and T a self-map of X. Let xn 1 f T, xn be some iteration procedure. Suppose that F T , the fixed point set of T , is nonempty and that xn converges to a point q ∈ F T . Let {yn} ⊂ X and define n d yn 1, f T, yn . If lim n 0 implies that limyn q, then the iteration procedure xn 1 f T, xn is said to be T -stable. Without loss of generality, we may assume that ...